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Finding the Fourth Proportional to 3,057.32, 4,586.67 and 977.49

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Solution

The fourth proportional to 3,057.32, 4,586.67 and 977.49 is: 1,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.32 : 4,586.67 = 977.49 : x
  2. Step 2: Convert to fraction form
    3,057.32/4,586.67 = 977.49/x
  3. Step 3: Cross multiply
    3,057.32x = 4,586.67 × 977.49
  4. Step 4: Simplify right side
    3,057.32x = 4,483,424.06
  5. Step 5: Solve for x
    x = 4,483,424.06/3,057.32
  6. Step 6: Final answer
    x = 1,466.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.